GATE ECE
Electromagnetics
Waveguides
Previous Years Questions

## Marks 1

A waveguide consists of two infinite parallel plates (perfect conductors) at a separation of 10$$-$$4 cm, with air as the dielectric. Assume the speed...
Consider an air filled rectangular waveguide with a cross-section of $$5\,\,cm\,\, \times \,\,3\,cm$$. For this waveguide, the cut-off frequency (in M...
The modes in a rectangular waveguide are denoted by $$T{E_{mn}}\,$$/$$T{M_{mn}}\,$$ where m and n are the eigen numbers along the larger and smaller d...
Which of the following statements is true regarding the fundamental mode of the metallic waveguides shown? ...
The phase velocity of an electromagnetic wave propagating in a hollow metallic rectangular waveguide in the $$T{E_{10}}$$ mode is
The phase velocity for the $$T{E_{10}}$$ mode in an air-filled rectangular waveguide is
The phase velocity of waves propagating in a hollow metal waveguide is
The dominant mode in a rectangular waveguide is $$T{E_{10}}$$, because this mode has
Indicate which one of the following modes do NOT exist in a rectangular resonant cavity.
A rectangular air-filled waveguide has a cross section of $$4\,cm\,\, \times \,\,10cm$$. The minimum frequency which can propagate in the waveguide is...
The interior of a $${{20} \over 3}\,\,cm\,\, \times \,\,{{20} \over 4}\,\,cm$$ rectangular waveguide is completely filled with a dielectric of $${ \in... ## Marks 2 Standard air filled rectangular waveguides of dimensions a = 2.29cm and b = 1.02cm are designed for radar applications. It is desired that these waveg... Consider an air-filled rectangular waveguide with dimensions a = 2.286cm and b = 1.016cm. At 10GHz operating frequency, the value of the propagation c... Consider an air-filled rectangular waveguide with dimensions a = 2.286 cm and b = 1.016 cm. The increasing order of the cut-off frequencies for differ... An air-filled rectangular waveguide of internal dimension$$a\,\,cm\,\, \times \,\,b\,\,cm$$(a > b) has a cutoff frequency of 6 GHz for the domina... The longitudinal component of the magnetic field inside an air-filled rectangular waveguide made of a perfect electric conductor is given by the follo... For a rectangular waveguide of internal dimensions$$a\,\, \times \,\,b$$(a > b), the cut-off frequency for the$$T{E_{11}}$$mode is the arithmet... The magnetic field along the propagation direction inside a rectangular waveguide with the cross section shown in the figure is$${H_Z} = 3\,\,\cos \,...
A rectangular waveguide of internal dimensions (a = 4 cm and b = 3 cm ) is to be operated in $$T{E_{11}}$$ mode. The minimum operating frequency is
An air-filled rectangular waveguide has inner dimensions of $$3\,cm\,\, \times \,\,2\,\,cm\,$$. The wave impedance of the $$T{E_{20}}$$ mode of propag...
The $$\mathop E\limits^ \to$$ field in a rectangular waveguide of inner dimensions $$a\,\, \times \,\,b$$ is given by $$\mathop E\limits^ \to = {... A rectangular waveguide having$$T{E_{10}}$$mode as dominant mode is having a cutoff frequency of 18 GHz for the$$T{E_{30}}$$mode. The inner broad-... Which one of the following does represent the electric field lines for the$$T{E_{02}}$$mode in the cross-section of a hollow rectangular metallic wa... A rectangular metal wave guide filled with a dielectric material of relative permittivity$${\varepsilon _r} = \,4$$has the inside dimensions$$3.0\,...
A rectangular waveguide has dimensions $$1\,\,cm\,\, \times \,\,0.5\,\,cm$$. Its cut-off frequency is
An optical fiber consists of a cylindrical dielectric rod of refractive index $$n_1$$, surrounded by another dielectric of refractive index $$n_2$$ wh...
Choose the correct statements. For a wave propagating in an air filled rectangular wave guide
For a normal mode EM wave propagating in a hollow rectangular wave guide
The cut-off frequency of a waveguide depends upon

## Marks 5

Consider a parallel plate waveguide with plate separation d as shown in Fig. The electric and magnetic fields for the TEM mode are given by $${E_x} = ... Consider a parallel plate waveguide with plate separation d as shown in Fig. The electric and magnetic fields for the TEM mode are given by$${E_x} = ...
Consider a parallel plate waveguide with plate separation d as shown in Fig. The electric and magnetic fields for the TEM mode are given by $${E_x} = ... A rectangular hollow metal waveguide has dimensions a = 2.29 cm and b = 1.02 cm. Microwave power at 10 GHz is transmitted through the waveguide in the... A 100 m section of an air-filled rectangular wave-guide operating in the$$T{E_{10}}$$mode has a cross-sectional dimension of 1.071 cm$$ \times $$0... A rectangular waveguide with inner dimensions 6 cm$$ \times $$3 cm has been designed for a single mode operation. Find the possible frequency range ... The region between a pair of parallel perfectly conducting planes of infinite extent in the y and z directions is partially filled with a dielectric a... In an air-filled rectangular waveguide, the vector electric field is given by$$\mathop E\limits^ \to = \cos \,(20\,\pi \,y)\,\exp \,\,\left[ { - j...
A rectangular hollow metal waveguide is required to be so designed to propagate a 9375 MHz signal in its $$T{E_{10}}$$-mode that the guide-wavelength ...
A rectangular hollow metal waveguide of internal cross-section of $$7.366\,\,cm\,\, \times \,\,3.556\,cm$$ carries a 3 GHz signal in the $$T{E_{10}}$$...

## Marks 8

A rectangular waveguide with cross-section dimensions 5 cm by 3 cm is filled with a dielectric of relative permittivity 3. (i) Determine the cutoff f...
A rectangular waveguide with cross-section dimensions 5 cm by 3 cm is filled with a dielectric of relative permittivity 3. (i) Determine the cutoff f...

## Marks 10

Design a rectangilar hollow metal waveguide to operate in the X-band such that at an operating free-space wavelength of 3.2 cm (a) The guide-waveleng...
EXAM MAP
Joint Entrance Examination